Answer:
If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.
Step-by-step explanation:
The exponential growth equation is:
Compute the value of f (x) for <em>x</em> = 45.4 as follows:
Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
C: 51%
Step-by-step explanation:
There is a 60% that the weather is good and 85% of going to the concert so you multiply the two because of probability. 0.6 x 0.85 = 0.51
Tan=sin/cos
So sin a= 7
Cos a= 24
Answer: x=10.0 or just 10
Step-by-step explanation: 4.4=x-5.6
+5.6 +5.6
-----------------------
10.0=x
